Solving Systems of Equations by Graphing REVIEW (TTCM)

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations in the same variable.

Front

How can you find the solution to a system of equations by graphing?

Back

By graphing the equations on the same coordinate plane and identifying the point where the lines intersect.

Front

What does it mean if an ordered pair is a solution to a system of equations?

Back

It means that the ordered pair satisfies all equations in the system.

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The solution is the point where the two lines intersect.

Front

If two lines are parallel, what can be said about their solutions?

Back

If two lines are parallel, they do not intersect, and therefore, there is no solution to the system.

Front

What is the significance of the coordinates (1, -4) in the context of a system of equations?

Back

(1, -4) is the solution to a specific system of equations, meaning it satisfies both equations.

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into each equation to see if it makes both equations true.

Front

What does it mean if two lines intersect at a point?

Back

It means that there is a unique solution to the system of equations represented by those lines.

Front

What is the solution to the system of equations if the lines intersect at (4, -2)?

Back

The solution to the system is the ordered pair (4, -2).

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of the lines corresponding to each equation plotted on a coordinate plane.